The York Research Database
- » Research
- » York Research Database
- » Publications
- » Cellular cohomology of posets with local coefficients
Cellular cohomology of posets with local coefficients
Research output: Contribution to journal › Article
Full text download(s)
216 KB, PDF document
Links
Published copy (DOI)
Author(s)
Department/unit(s)
Publication details
| Journal | Journal of Algebra |
|---|---|
| Date | E-pub ahead of print - 28 May 2015 |
| Date | Published (current) - 1 Oct 2015 |
| Volume | 439 |
| Number of pages | 25 |
| Pages (from-to) | 134-158 |
| Early online date | 28/05/15 |
| Original language | English |
Abstract
We describe a "cellular" approach to the computation of the cohomology of a poset with coefficients in a presheaf. A cellular cochain complex is constructed, described explicitly and shown to compute the cohomology under certain circumstances. The descriptions are refined further for certain classes of posets including the cell posets of regular CW-complexes and geometric lattices.
Bibliographical note
© Elsevier 2015. This is an author produced version of a paper published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy.
- Cosmology of a poset with coefficients in a presheaf, Cellular cohomology, Khovanov homology, Brulhat order, Geometric lattices
Research areas
Discover related content
Find related publications, people, projects, datasets and more using interactive charts.